113957750400 has 1152 divisors, whose sum is σ = 448452547200. Its totient is φ = 25206128640.

The previous prime is 113957750381. The next prime is 113957750453. The reversal of 113957750400 is 4057759311.

113957750400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3079939182 + ... + 3079939218.

It is an arithmetic number, because the mean of its divisors is an integer number (389281725).

Almost surely, 2^113957750400 is an apocalyptic number.

113957750400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113957750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224226273600).

113957750400 is an abundant number, since it is smaller than the sum of its proper divisors (334494796800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113957750400 is a wasteful number, since it uses less digits than its factorization.

113957750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The spelling of 113957750400 in words is "one hundred thirteen billion, nine hundred fifty-seven million, seven hundred fifty thousand, four hundred".